J.R. S. answered 12/10/21
Ph.D. University Professor with 10+ years Tutoring Experience
This is very similar to your previous question using HCl and NaOH. The main difference is here you are using acetic acid (CH3COOH) instead of hydrochloric acid (HCl). The base (NaOH) remains the same.
Again, you should write the balanced equation so you can see what's going on:
CH3COOH + NaOH ==> CH3COONa + H2O ... balanced equation for neutralization reaction
As with your previous question, I'm going to round the volume of NaOH to 33.4 mls as I doubt you measured it any accurately than that, and 0.7 M NaOH has only 1 significant figure anyway. So, here we go...
Find the mols of NaOH used from the volume and the molarity:
33.4 mls NaOH x 1 L / 1000 mls x 0.7 mol / L = 0.0234 moles
Find moles of acetic acid present originally:
0.0234 mols NaOH x 1 mol CH3COOH / mol NaOH = 0.0234 mols CH3COOH
Find molarity of acetic acid:
0.0234 mols CH3COOH / 25 mls = 0.0234 mols / 0.025 L = 0.936 M = 0.9 M (1 sig. fig.)
Find the mass of CH3COOH in 1.00 L:
From the molarity (0.9 M) we know there are 0.936 mols acetic acid in 1 liter. Molar mass of CH3COOH = 60.05 g/mol. So, 0.936 mols / L x 60.05 g / mol = 56.2 g acetic acid in 1 liter.
Find the % acetic acid in the sample of vinegar:
The answer to this part depends on if you want the % m/m, v/v or m/v. We know the mass of acetic acid (56.2 g) and we know the volume (1 L or 1000 mls), so the only basis we can use is % m/v. That is calculated as
56.2 g / 1000 ml (x100%) = 5.62% (mass/volume)